Textbook ExpertVerified Tutor
20 Nov 2021
Given information
Use the following information to answer the next four exercises:
Find the probability that 
Step-by-step explanation
Step 1.
A normal distribution is a continuous variable with the probability distribution function given as follows:
Where 
is the mean of the distribution and 
is the standard deviation.
The notation for the random variable is 
, if 
are the mean and the standard normal distribution respectively.
As given in the problem,
.
Therefore, 
and 
.
The formula for the 
is as follows:
One needs to first find the 
score in order to find the required probability.
Using the formula for the score,
Now to find 
one can consider the following table:
Using the standard normal table we have:
Therefore, the probability that 
.
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57a
- Problem 57b
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b